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Vinvika [58]
3 years ago
8

20% out of 70 plants

Mathematics
2 answers:
malfutka [58]3 years ago
5 0

Answer:

14

Step-by-step explanation:

set it up as a proportion 20/100 = x/70

cross multiply to get 100x = 1400

divide by 100

x = 14

AVprozaik [17]3 years ago
4 0

Answer:

14 plants.

Step-by-step explanation:


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What is the range of the function pictured below?
zhenek [66]

Answer:

0 ≤y ≤ 60

Step-by-step explanation:

The range is  values the y can take

y goes from 0 to 60

10 ≤y ≤ 60

3 0
3 years ago
The sum of two integers is 121. The larger integer is 7 more than twice the smaller integer. Find the two integers.
iren [92.7K]
X + (2x + 7) = 121 : Write the expression.
3x + 7 = 121 : Combine like terms.
3x + 7 - 7 = 121 - 7 : Isolate x.
3x = 114 : Combined like terms.
3x / 3 = 114 / 3 : Find the value of x.
x = 38 : This is the smaller integer.
(2x + 7) = (2(38) + 7) = 76 + 7 = 83. : Find the value of the larger number by plugging in the value of x to the larger number's quantity.
The larger number is 83, and the smaller number is 38.
5 0
3 years ago
A teacher places n seats to form the back row of a classroom layout. Each successive row contains two fewer seats than the prece
Alex_Xolod [135]

Answer:

The number of seat when n is odd S_n=\frac{n^2+2n+1}{4}

The number of seat when n is even S_n=\frac{n^2+2n}{4}

Step-by-step explanation:

Given that, each successive row contains two fewer seats than the preceding row.

Formula:

The sum n terms of an A.P series is

S_n=\frac{n}{2}[2a+(n-1)d]

    =\frac{n}{2}[a+l]

a = first term of the series.

d= common difference.

n= number of term

l= last term

n^{th} term of a A.P series is

T_n=a+(n-1)d

n is odd:

n,n-2,n-4,........,5,3,1

Or we can write 1,3,5,.....,n-4,n-2,n

Here a= 1 and d = second term- first term = 3-1=2

Let t^{th} of the series is n.

T_n=a+(n-1)d

Here T_n=n, n=t, a=1 and d=2

n=1+(t-1)2

⇒(t-1)2=n-1

\Rightarrow t-1=\frac{n-1}{2}

\Rightarrow t = \frac{n-1}{2}+1

\Rightarrow t = \frac{n-1+2}{2}

\Rightarrow t = \frac{n+1}{2}

Last term l= n,, the number of term =\frac{ n+1}2, First term = 1

Total number of seat

S_n=\frac{\frac{n+1}{2}}{2}[1+n}]

    =\frac{{n+1}}{4}[1+n}]

     =\frac{(1+n)^2}{4}

    =\frac{n^2+2n+1}{4}

n is even:

n,n-2,n-4,.......,4,2

Or we can write

2,4,.......,n-4,n-2,n

Here a= 2 and d = second term- first term = 4-2=2

Let t^{th} of the series is n.

T_n=a+(n-1)d

Here T_n=n, n=t, a=2 and d=2

n=2+(t-1)2

⇒(t-1)2=n-2

\Rightarrow t-1=\frac{n-2}{2}

\Rightarrow t = \frac{n-2}{2}+1

\Rightarrow t = \frac{n-2+2}{2}

\Rightarrow t = \frac{n}{2}

Last term l= n, the number of term =\frac n2, First term = 2

Total number of seat

S_n=\frac{\frac{n}{2}}{2}[2+n}]

    =\frac{{n}}{4}[2+n}]

     =\frac{n(2+n)}{4}

    =\frac{n^2+2n}{4}  

4 0
3 years ago
What value of n makes this expression equal to 6?<br><br> 3n - (2 + n)
SVEN [57.7K]

Answer:

4

Step-by-step explanation:

3n-2-n=6

2n-2=6

2n=8

n=4

5 0
3 years ago
Read 2 more answers
What is the equation of the line that passes through the point (-6,7) and has a slope of -5? Write the equation in slope interce
Vedmedyk [2.9K]

Answer:

y = -5x - 23

Step-by-step explanation:

Point-slope form:

y - 7 = -5(x + 6)

rearrange:

y - 7 = -5x - 30

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3 years ago
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